If \[\mathbf{a}\ne \mathbf{0},\,\,\mathbf{b}\ne \mathbf{0}\] and \[|\mathbf{a}+\mathbf{b}|\,=\,|\mathbf{a}-\mathbf{b}|,\] then the vectors a and b are [Roorkee 1986; MNR 1988; IIT Screening 1989; MP PET 1990, 97; RPET 1984, 90, 96, 99; KCET 1999]

Inclined at an angle of \[{{60}^{o}}\]

Neither perpendicular nor parallel

If \[\mathbf{a}\ne \mathbf{0},\,\,\mathbf{b}\ne \mathbf{0}\] and \[|\m

1.	If \[\mathbf{a}\ne \mathbf{0},\,\,\mathbf{b}\ne \mathbf{0}\] and \[\|\mathbf{a}+\mathbf{b}\|\,=\,\|\mathbf{a}-\mathbf{b}\|,\] then the vectors a and b are [Roorkee 1986; MNR 1988; IIT Screening 1989; MP PET 1990, 97; RPET 1984, 90, 96, 99; KCET 1999]
A.	Parallel to each other
B.	Perpendicular to each other
C.	Inclined at an angle of \[{{60}^{o}}\]
D.	Neither perpendicular nor parallel
Answer» C. Inclined at an angle of \[{{60}^{o}}\]

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If \[\mathbf{a}\ne \mathbf{0},\,\,\mathbf{b}\ne \mathbf{0}\] and \[|\mathbf{a}+\mathbf{b}|\,=\,|\mathbf{a}-\mathbf{b}|,\] then the vectors a and b are [Roorkee 1986; MNR 1988; IIT Screening 1989; MP PET 1990, 97; RPET 1984, 90, 96, 99; KCET 1999]

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